1. Speech act theory (10 marks) Which of the following are performative utterances? Justify your answer for each, noting any compli-cations.

(6) a. Kim is a teacher. b. I bet you five pounds that United win tomorrow. c. Kim bet you five pounds that United win tomorrow. d. I would like to thank you for your participation.

2.Set theory (10 marks) Given the sets below, which of the following statements are true? A=( 1,3,5,7) B={a,c.e,g.i} C=(xlx is an odd number less than or equal to 7) D={7,3,1,5} E=(e,a,i,c,i,g) F=( ( I hi 1,3,5).( 1,3.5.7)) (7) a. A=B b. E=B c. C=A d. I E C e. (1 }EA f. C=D g. CCC h. CCC
3. Model-theoretic interpretation (15 marks) The questions in this section assume a predicate logic t with the vocabulary, syntactic rules, and rules of interpretation from de Swan (92-93), . We assume also the model M2 from de Swan. (9) a. State the truth conditions of K (j, in) A !'(s). b. Which rule or combinations of rules tell you how to interpret it (relative to Al2 and variable assignment function y2)? c. Is it true in 3/2 (10) a. State the truth conditions of 3.ri (P(.171) V Q(ri)I. b. Which rule or combinations of rules tell you how to interpret it (relative to 312 and van-able assignment function g2)? c. Is it true in All with respect to variable assignment function y2?

4.Generalized quantifier theory (5 marks) Briefly explain what it means for a natural language determiner to be conservative, providing a potential Counterexample to the claim that all natural language determiners arc conservative.